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Finding the Fourth Proportional to 111,989,094,101.10, 167,983,641,151.65 and 111,989,094,101.10

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Solution

The fourth proportional to 111,989,094,101.10, 167,983,641,151.65 and 111,989,094,101.10 is: 167,983,641,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,989,094,101.10 : 167,983,641,151.65 = 111,989,094,101.10 : x
  2. Step 2: Convert to fraction form
    111,989,094,101.10/167,983,641,151.65 = 111,989,094,101.10/x
  3. Step 3: Cross multiply
    111,989,094,101.10x = 167,983,641,151.65 × 111,989,094,101.10
  4. Step 4: Simplify right side
    111,989,094,101.10x = 18,812,335,796,377,547,177,984
  5. Step 5: Solve for x
    x = 18,812,335,796,377,547,177,984/111,989,094,101.10
  6. Step 6: Final answer
    x = 167,983,641,151.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.